Class 12 Exam  >  Class 12 Notes  >  Derivation of electric potential due to a point charge is?

Derivation of electric potential due to a point charge is? - Class 12 PDF Download

Derivation of electric potential due to a point charge is?
Ref: https://edurev.in/question/440419/Derivation-of-electric-potential-due-to-a-point-charge-is-

Electric Potential due to a point charge

Derivation of electric potential due to a point charge is? - Class 12

The electric potential due to a point charge at a any point is defined as the work done in bringing per unit (infinitesimal and positive) test charge from infinity to given point. Let q be the charge and P a point at a distance r from q at which the potential is to be found.

Derivation of electric potential due to a point charge is? - Class 12
Suppose test charge q0 is being brought from infinity to point P . When test charge q0 is at a distance x, the electrostatic coulomb force on the test charge is

Derivation of electric potential due to a point charge is? - Class 12

where  Derivation of electric potential due to a point charge is? - Class 12  is unit vector along  Derivation of electric potential due to a point charge is? - Class 12

Work done by external force against electric force during small displacement dx is .

Work done by external force against electric force during small displacement dx is

Derivation of electric potential due to a point charge is? - Class 12

Work done in bringing test charge q0 from infinity to point P is

Derivation of electric potential due to a point charge is? - Class 12

Derivation of electric potential due to a point charge is? - Class 12

 

Derivation of electric potential due to a point charge is? - Class 12 The electric potential at point P (distant r from point charge q ) is

Derivation of electric potential due to a point charge is? - Class 12

Derivation of electric potential due to a point charge is? - Class 12

 

Clearly, the potential due to a point charge varies inversely with distance r from the point charge (fig.)

 

The document Derivation of electric potential due to a point charge is? - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12

FAQs on Derivation of electric potential due to a point charge is? - Class 12

1. What is the formula for the electric potential due to a point charge?
Ans. The formula for the electric potential due to a point charge is V = kQ/r, where V is the electric potential, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), Q is the magnitude of the charge, and r is the distance from the charge to the point where the potential is measured.
2. How is the electric potential different from electric field?
Ans. The electric potential at a point is a scalar quantity that represents the amount of electric potential energy per unit charge at that point. It is measured in volts (V). On the other hand, the electric field at a point is a vector quantity that represents the force experienced by a positive test charge per unit charge at that point. It is measured in newtons per coulomb (N/C).
3. Can the electric potential be negative?
Ans. Yes, the electric potential can be negative. The sign of the electric potential depends on the sign of the charge creating the potential. If the charge is positive, the electric potential is positive. If the charge is negative, the electric potential is negative.
4. How does the electric potential change with distance from a point charge?
Ans. The electric potential due to a point charge decreases as the distance from the charge increases. This relationship follows an inverse-square law, meaning that doubling the distance from the charge will result in a quarter of the original electric potential.
5. Can the electric potential due to a point charge ever be zero?
Ans. Yes, the electric potential due to a point charge can be zero. This occurs at a point where the distance from the charge is infinity. At this point, the electric potential becomes zero as the distance approaches infinity.
Download as PDF
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

mock tests for examination

,

past year papers

,

Sample Paper

,

pdf

,

Objective type Questions

,

Summary

,

practice quizzes

,

video lectures

,

Important questions

,

shortcuts and tricks

,

Previous Year Questions with Solutions

,

Derivation of electric potential due to a point charge is? - Class 12

,

Derivation of electric potential due to a point charge is? - Class 12

,

study material

,

Free

,

Exam

,

MCQs

,

Derivation of electric potential due to a point charge is? - Class 12

,

Viva Questions

,

Extra Questions

,

Semester Notes

,

ppt

;